Solution for state constrained optimal control problems applied to power split control for hybrid vehicles

Authors:
Thijs Van Keulen;Jan Gillot;Bram De Jager;Maarten Steinbuch
Affiliations:
-;-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2014

Citing 3
Cited 0

A survey of the maximum principles for optimal control problems with state constraints

SIAM Review
Numerical solution of constrained optimal control problems with parameters

Applied Mathematics and Computation
A nonsmooth Newton's method for control-state constrained optimal control problems

Mathematics and Computers in Simulation

Quantified Score

Hi-index	22.14

Visualization

Abstract

This paper presents a numerical solution for scalar state constrained optimal control problems. The algorithm rewrites the constrained optimal control problem as a sequence of unconstrained optimal control problems which can be solved recursively as a two point boundary value problem. The solution is obtained without quantization of the state and control space. The approach is applied to the power split control for hybrid vehicles for a predefined power and velocity trajectory and is compared with a Dynamic Programming solution. The computational time is at least one order of magnitude less than that for the Dynamic Programming algorithm for a superior accuracy.